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Matematicheskie Zametki, 2022, Volume 111, Issue 1, paper published in the English version journal
(Mi mzm13399)
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Papers published in the English version of the journal
Local Recovery Bounds for Prior Support Constrained
Compressed Sensing
K. Z. Najiya, Munnu Sonkar, C. S. Sastry Department of Mathematics, Indian Institute of
Technology, Hyderabad, 502285 India
Abstract:
Prior support constrained compressed sensing has of late become popular due to its
potential for applications.
The existing results on recovery guarantees provide global
recovery bounds in the sense that they deal with full support.
However, in some
applications, one might be interested in the recovery guarantees limited to the given
prior support, such bounds may be termed as local recovery bounds.
The present work
proposes local recovery guarantees and analyzes the conditions on associated
parameters that make recovery error small.
Keywords:
compressed sensing, prior support, weighted 1-norm minimization, local recovery
guarantees.
Received: 02.07.2021 Revised: 18.07.2021
Citation:
K. Z. Najiya, Munnu Sonkar, C. S. Sastry, “Local Recovery Bounds for Prior Support Constrained
Compressed Sensing”, Math. Notes, 111:1 (2022), 93–102
Linking options:
https://www.mathnet.ru/eng/mzm13399
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Abstract page: | 90 |
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